> > Every rational *which is followed by infinitely many uncounted rationals* is counted at some time. This holds also for the limit since there is no last rational. I do not understand why you blind yourself (eyes wide shut) to intentionally forgetting this condition.> > > > > > > And there are Infinitely many Even Numvers following Every given Even Number.

Of course. But first 100 % of them are inaccessible, and second, why do you believe that the infinitely many naturals are as many as the infinitely many rationals?> > However, we can still find a Bijection between the Set of All Even Numbers and the Set of All Natural Numbers.

Of course: |N is in bijection with |N, if you mean the pure symbols. If you mean the elemnts, then 100 % are inaccessible and you can merely by symmetry arguments assert that a bijection would be possible if the elements could be "taken".> > > > Also, if you don't think all the Rationals are counted (removed), please name at least one specific example that is Not Counted (removed).

As you know only 0 % are accessible, for instance of the sequence (1/n). Only accessible rationals can be named. They can be enumerated by accessible naturals - like all accessible reals.